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On some deformations of the Poisson structure associated with the algebroid bracket of differential forms

  • Alina DobrogowskaEmail author
  • Grzegorz Jakimowicz
  • Karolina Wojciechowicz
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

We use the algebroid bracket of differential forms to generate the Poisson structure πC on the tangent bundle TM. Next, we present how to construct deformations of this structure starting from the initial Poisson structure π on a manifold M.

53D17

37K10 

Keywords

Poisson manifold Lie algebroid deformation of Poisson structure lifting of multivectors Lie algebra 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Alina Dobrogowska
    • 1
    Email author
  • Grzegorz Jakimowicz
    • 1
  • Karolina Wojciechowicz
    • 1
  1. 1.Institute of Mathematics, University of BiałystokBiałystokPoland

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